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Finding the Fourth Proportional to 199.42, 275.46 and 147.07

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Solution

The fourth proportional to 199.42, 275.46 and 147.07 is: 203.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.42 : 275.46 = 147.07 : x
  2. Step 2: Convert to fraction form
    199.42/275.46 = 147.07/x
  3. Step 3: Cross multiply
    199.42x = 275.46 × 147.07
  4. Step 4: Simplify right side
    199.42x = 40,511.90
  5. Step 5: Solve for x
    x = 40,511.90/199.42
  6. Step 6: Final answer
    x = 203.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.